Endogenous quantal response equilibrium

Evan Friedman

Games and Economic Behavior, 2020, vol. 124, issue C, 620-643

Abstract: We endogenize the precision parameter λ of logit quantal response equilibrium (LQRE). In the first stage of an endogenous quantal response equilibrium (EQRE), each player chooses her precision optimally subject to costs, taking as given other players’ (second-stage) behavior. In the second stage, the distribution of players’ actions is a heterogenous LQRE given the profile of first-stage precision choices. EQRE satisfies a modified version of the regularity axioms, nests LQRE as a limiting case for a sequence of cost functions, and admits analogues of classic results for LQRE such as those for equilibrium selection. We show how EQRE differs from LQRE using the family of generalized matching pennies games.

Keywords: Quantal response equilibrium; Logit; Endogenous; Discrete choice models (search for similar items in EconPapers)
JEL-codes: C44 C72 C92 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:124:y:2020:i:c:p:620-643

DOI: 10.1016/j.geb.2020.10.003

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